Theory of slender compressible vortex filaments

O. Knio; L. Ting; R. Klein

doi:10.1016/B978-008044046-0.50237-2

Theory of slender compressible vortex filaments

O. Knio^*, L. Ting, R. Klein

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

2 Scopus citations

Abstract

The asymptotic theory of incompressible slender vortex filaments is extended to account for the compressibility effect of high swirling flow in the vortical core. We derive the equations of motion of a filament and equations for the evolution of the core structure, the large swirling and axial velocity and the density profiles. We highlight how the equations and solutions for the compressible flows differ from those for the incompressible flows.

Original language	English (US)
Title of host publication	Computational Fluid and Solid Mechanics 2003
Publisher	Elsevier Inc.
Pages	971-973
Number of pages	3
ISBN (Electronic)	9780080529479
ISBN (Print)	9780080440460
DOIs	https://doi.org/10.1016/B978-008044046-0.50237-2
State	Published - Jun 2 2003
Externally published	Yes

Keywords

Asymptotic theory
Compressible core structure
Vortex filaments

ASJC Scopus subject areas

General Engineering

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10.1016/B978-008044046-0.50237-2

Cite this

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title = "Theory of slender compressible vortex filaments",

abstract = "The asymptotic theory of incompressible slender vortex filaments is extended to account for the compressibility effect of high swirling flow in the vortical core. We derive the equations of motion of a filament and equations for the evolution of the core structure, the large swirling and axial velocity and the density profiles. We highlight how the equations and solutions for the compressible flows differ from those for the incompressible flows.",

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T1 - Theory of slender compressible vortex filaments

AU - Knio, O.

AU - Ting, L.

AU - Klein, R.

PY - 2003/6/2

Y1 - 2003/6/2

N2 - The asymptotic theory of incompressible slender vortex filaments is extended to account for the compressibility effect of high swirling flow in the vortical core. We derive the equations of motion of a filament and equations for the evolution of the core structure, the large swirling and axial velocity and the density profiles. We highlight how the equations and solutions for the compressible flows differ from those for the incompressible flows.

AB - The asymptotic theory of incompressible slender vortex filaments is extended to account for the compressibility effect of high swirling flow in the vortical core. We derive the equations of motion of a filament and equations for the evolution of the core structure, the large swirling and axial velocity and the density profiles. We highlight how the equations and solutions for the compressible flows differ from those for the incompressible flows.

KW - Asymptotic theory

KW - Compressible core structure

KW - Vortex filaments

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U2 - 10.1016/B978-008044046-0.50237-2

DO - 10.1016/B978-008044046-0.50237-2

M3 - Chapter

AN - SCOPUS:84941729253

SN - 9780080440460

SP - 971

EP - 973

BT - Computational Fluid and Solid Mechanics 2003

PB - Elsevier Inc.

ER -

Theory of slender compressible vortex filaments

Abstract

Keywords

ASJC Scopus subject areas

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